What is factor 150m^2n^2-240mn^6-360m^3n^2 ?

The solution to factor 150m^2n^2-240mn^6-360m^3n^2 is 30mn^2(5m-8n^4-12m^2)

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factor 150m^2n^2-240mn^6-360m^3n^2

factor

150 m^{2} n^{2} - 240 m n^{6} - 360 m^{3} n^{2}

30 m n^{2} (5 m - 8 n^{4} - 12 m^{2})

Solution steps

150 m^{2} n^{2} - 240 m n^{6} - 360 m^{3} n^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{2} n^{2} = mm n^{2}, m n^{6} = m n^{2} n^{4}, m^{3} n^{2} = m m^{2} n^{2}

= 150 mm n^{2} - 240 m n^{2} n^{4} - 360 m m^{2} n^{2}

Rewrite

- 360

12 \cdot 30

Rewrite

- 240

8 \cdot 30

= 5 \cdot 30 mm n^{2} + 8 \cdot 30 m n^{2} n^{4} + 12 \cdot 30 m m^{2} n^{2}

Factor out common term

30 m n^{2}

= 30 m n^{2} (5 m - 8 n^{4} - 12 m^{2})

2 (x + 1) (x - 2)

\frac{3}{4} \div 12

2222

- 2 \cdot \frac{2}{3}

\frac{45}{20}

What is factor 150m^2n^2-240mn^6-360m^3n^2 ?
The solution to factor 150m^2n^2-240mn^6-360m^3n^2 is 30mn^2(5m-8n^4-12m^2)